# Perturbation Expansion in Phase-Ordering Kinetics: II. N-vector Model

Source: [Perturbation Expansion in Phase-Ordering Kinetics: II. N-vector Model](<https://www.sota2.com/research/paper/68fa24c22c2a3760193a87e4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:29:39.067Z

Authors: Gene F. Mazenko

Published: 1999-06-28T15:20:04.000Z

## Abstract

The perturbation theory expansion presented earlier to describe the phase-ordering kinetics in the case of a nonconserved scalar order parameter is generalized to the case of the $n$-vector model. At lowest order in this expansion, as in the scalar case, one obtains the theory due to Ohta, Jasnow and Kawasaki (OJK). The second-order corrections for the nonequilibrium exponents are worked out explicitly in $d$ dimensions and as a function of the number of components $n$ of the order parameter. In the formulation developed here the corrections to the OJK results are found to go to zero in the large $n$ and $d$ limits. Indeed, the large-$d$ convergence is exponential.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9906414>)

[PDF](<https://arxiv.org/pdf/cond-mat/9906414.pdf>)